Question

Сторони прямокутника дорівнюють 16 см і 3 см. Знайдіть сторони рівнове-ликого йому прямокутника, якщо відо-мо, що вони відносяться як 3:4.​

Answer 1

Відповідь:
6см; 8см;

Розв'язання:
S1=16*3=48см²
S1=S2
Перша сторона 3х; друга 4х. (S2=3x*4x)
Рівняння:
3x*4x=48
12x²=48
x²=4
x=√4
x=2
2*3=6 см перша сторона
2*4=8см друга сторона.

Answer 2

Problem Analysis

We are given the dimensions of a rectangle, where one side is 16 cm and the other side is 3 cm. We are also told that these sides are in a ratio of 3:4. We need to find the dimensions of a rectangle that is similar to the given rectangle but has equal sides.

Solution

Let's assume the dimensions of the equal sides of the rectangle are x cm each. Since the sides of the given rectangle are in a ratio of 3:4, we can set up the following equation:

3/4 = x/16

To solve for x, we can cross-multiply and then divide:

3 * 16 = 4 * x 48 = 4x x = 48/4 x = 12

Therefore, the dimensions of the rectangle that is similar to the given rectangle but has equal sides are 12 cm each.

Answer

The dimensions of the rectangle that is similar to the given rectangle but has equal sides are 12 cm each.